Comments on the symmetry breaking condition in MacDowell-Mansouri action
High Energy Physics - Theory
2021-06-08 v3 Mathematical Physics
math.MP
Abstract
In this work we study the symmetry breaking conditions, given by a (anti)de Sitter-valued vector field, of a full (anti)de Sitter-invariant MacDowell-Mansouri inspired action. We show that under these conditions the action breaks down to General Relativity with a cosmological constant, the four dimensional topological invariants, as well as the Holst term. We obtain the equations of motion of this action, and analyze the symmetry breaking conditions.
Keywords
Cite
@article{arxiv.2010.12515,
title = {Comments on the symmetry breaking condition in MacDowell-Mansouri action},
author = {I. Díaz-Saldaña and M. Sabido and J. C. López-Domínguez and J. E. Rosales-Quintero},
journal= {arXiv preprint arXiv:2010.12515},
year = {2021}
}
Comments
9 pages